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Finding the Third Proportional to 3,613 and 4,908.50

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Solution

The third proportional to 3,613 and 4,908.50 is: 6,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613 : 4,908.50 = 4,908.50 : x
  2. Step 2: Convert to fraction form
    3,613/4,908.50 = 4,908.50/x
  3. Step 3: Cross multiply
    3,613x = 4,908.50 × 4,908.50
  4. Step 4: Simplify right side
    3,613x = 24,093,372.25
  5. Step 5: Solve for x
    x = 24,093,372.25/3,613
  6. Step 6: Final answer
    x = 6,668.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.